# BCD to Binary Conversions

Posted By on September 30, 2014

## BCD to Binary Conversion

Steps

• Step 1 — Convert the BCD number to decimal.
• Step 2 — Convert decimal to binary.

Example: convert (00101001)BCD to Binary.

### Step 1 – Convert to BCD

BCD Number: (00101001)BCD

Calculating Decimal Equivalent. Convert each four digit into a group and get decimal equivalent or each group.

Step BCD Number Conversion
Step 1 (00101001)BCD 00102 10012
Step 2 (00101001)BCD 210 910
Step 3 (00101001)BCD 2910

BCD Number: (00101001)BCD = Decimal Number: 2910

### Step 2 – Convert to Binary

Used long division method for decimal to binary conversion.

Decimal Number: 2910

Calculating Binary Equivalent:

Step Operation Result Remainder
Step 1 29 / 2 14 1
Step 2 14 / 2 7 0
Step 3 7 / 2 3 1
Step 4 3 / 2 1 1
Step 5 1 / 2 0 1

As mentioned in Steps 2 and 4, the remainders have to be arranged in the reverse order so that the first remainder becomes the least significant digit (LSD) and the last remainder becomes the most significant digit (MSD).

Decimal Number: 2910 = Binary Number: 111012

Result

```(00101001)BCD = (11101)2
```

#### Posted by Akash Kurup

Founder and C.E.O, World4Engineers Educationist and Entrepreneur by passion. Orator and blogger by hobby

Website: http://world4engineers.com